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Mathematics
Problem
The curve
x
2
−
x
y
+
y
2
=
7
x^{2}-xy+y^{2}=7
x
2
−
x
y
+
y
2
=
7
intersects the vertical line
x
=
2
x=2
x
=
2
at two points. Calculate the slope of the tangent at each of these intersection points.
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